1. 7-2 Surface Areas of Prisms and Cylinders

2. Geogebra Net of a Rectangular Prism Net of a Square Pyramid Net of a Cylinder Net of a Cube Surface Area of a Rectangular Prism Surface Area of a Triangular Prism Surface Area of a Cylinder

3. Find surface area of cubes and prisms by pulling them apart Lesson Slides Find surface area of cubes and prisms using formulas Lesson Slides Find missing dimensions using the volume formula Lesson Slides Choose the appropriate measurement for solving a problem Lesson Slides 7-2 Videos

4. Video Tutor Help Naming a three-dimensional figure Drawing a net Finding surface areas of prisms using a net Finding surface areas of cylinders using a net Finding the volumes of prisms Finding the volumes of cylinders

5. Video Tutor Help Identifying a solid from a netIdentifying a solid from a net (7-2) Finding surface areas of prisms using a formulaFinding surface areas of prisms using a formula (7-2) Finding surface areas of cylinders using a formulaFinding surface areas of cylinders using a formula (7-2) Finding surface areas of prisms using a netFinding surface areas of prisms using a net (7-2) Drawing a Net Surface Area of a Prism Surface Area of a Cylinder Khan Academy Find the surface area of a triangular prism

6. Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 7-2 Practice 7-2 Guided Problem Solving 7-2

7. Vocabulary Practice Vocabulary 7A: Graphic Organizer Vocabulary 7B: Reading Comprehension Vocabulary 7C: Reading/Writing Math Symbols Vocabulary 7D: Visual Vocabulary Practice Vocabulary 7E: Vocabulary C Vocabulary 7F: Vocabulary Review Puzzle Vocabulary (Electronic) Flash Cards Geometry

8. Additional Lesson Examples Step-by-Step Examples Lesson 7-2

9. Lesson Readiness Lesson Quiz Problem of the Day Lesson 7-2

13. Net of a Rectangular Prism Net of a Square Pyramid Net of a Cylinder Net of a Cube

14. The surface area of a three-dimensional figure is the sum of the areas of all its surfaces. You can use centimeter cubes to explore the surface area of prisms. Surface Area of a Rectangular Prism Surface Area of a Triangular Prism Surface Area of a Cylinder

15. Draw each view of the figure. Additional Example 1A: Finding Surface Area of Figures Built of Cubes Find the surface area of each figure. The figure is made up of congruent cubes. topfrontleft bottombackright 1 cm Find the area of each view. 12 + 8 + 6 + 12 + 8 + 6 = 52 The surface area is 52 cm 2.

16. Draw each view of the figure. Additional Example 1B: Finding Surface Area of Figures Built of Cubes Find the surface area of each figure. The figure is made up of congruent cubes. topfrontleft bottombackright 1 cm Find the area of each view. 8 + 8 + 6 + 8 + 8 + 6 = 44 The surface area is 44 cm 2.

17. Draw each view of the figure. Check It Out! Example 1A Find the surface area of each figure. The figure is made up of congruent cubes. topfrontleft bottombackright 1 cm Find the area of each view. 8 + 8 + 4 + 8 + 8 + 4 = 40 The surface area is 40 cm 2.

18. Draw each view of the figure. Check It Out! Example 1B Find the surface area of each figure. The figure is made up of congruent cubes. topfrontleft bottombackright 1 cm Find the area of each view. 8 + 9 + 6 + 8 + 9 + 6 = 46 The surface area is 46 cm 2.

19. The lateral faces of a prism are parallelograms that connect the bases. The lateral area of a prism is the sum of the areas of the lateral faces.

21. S = 2B + Ph = 204 ft 2 = 2( 8 3) + (18)(10) 1212 Additional Example 2: Finding Surface Area of Prisms Find the surface area of the figure to the nearest tenth. The figure is a triangular prism.

22. S = 2B + Ph = 252 cm 2 = 2( 7 6) + (21)(10) 1212 Check It Out! Example 2 7 cm 10 cm 6 cm Find the surface area of the figure to the nearest tenth. The figure is a triangular prism.

23. The lateral surface of a cylinder is the curved surface.

24. S = 2r 2 + 2rh = 2(4 2 ) + 2(4)(6) = 80 in 2  251.2 in 2 Additional Example 3: Finding Surface Area of Cylinders Find the surface area of the cylinder to the nearest tenth. Use 3.14 for .

25. S = 2r 2 + 2rh = 2(15 2 ) + 2(15)(3) = 540 in 2  1695.6 cm 2 Check It Out! Example 3 15 cm 3 cm Find the surface area of the cylinder to the nearest tenth. Use 3.14 for .

26. Additional Example 4: Application A cylindrical soup can is 7.6 cm in diameter and 11.2 cm tall. Estimate the area of the label that covers the side of the can. Only the lateral surface needs to be covered. Diameter ≈ 8 cm, so r ≈ 4 cm. L = 2rh = 2(4)(11) = 88 ≈ 267.3 cm 2 The cylinder’s diameter is about 8 cm, and its height is about 11 cm.

27. Check It Out! Example 4 A cylindrical storage tank that is 6 ft in diameter and 12 ft tall needs to be painted. Estimate the area to be painted. The diameter is 6 ft, so r = 3 ft. S = 2r 2 + 2rh = 2(3 2 ) + 2(3)(12) = 90 ft 2  282.6 ft 2

28. Draw a net for the square prism. LESSON 7-2 Begin by labeling the bases and faces. Draw the remaining faces. First draw one base.Then draw one face that connects both bases. Next, draw the other base. Surface Areas of Prisms and Cylinders Additional Examples

30. Find the surface area of the prism. LESSON 7-2 Then find the total area of the five faces. top bottom left side front side back side 10(26) + 10(24) + 10(10) + (10)(24) + (10)(24) = 840 1212 1212 The surface area of the triangular prism is 840 cm 2. First draw a net for the prism. Surface Areas of Prisms and Cylinders Additional Examples

31. Example 4-1a Find the surface area of the rectangular prism. Write the formula. Substitution Simplify. Answer:The surface area of the rectangular prism is 1868 square centimeters. Surface Area of Rectangular Prisms

32. Example 4-2a Find the surface area of the triangular prism. Find the area of each face. Bottom Left side Right side Two bases Surface Area of a Triangular Prism

33. Example 7-2a CAMPING A family wants to reinforce the fabric of its tent with a waterproofing treatment. Find the surface area, including the floor, of the tent below. A triangular prism consists of two congruent triangular faces and three rectangular faces. Surface Area of a Triangular Prism

34. Example 7-2b bottom left side right side two bases Add to find the total surface area. Answer: The surface area of the tent is about 131.1 square feet. Draw and label a net of this prism. Find the area of each face.

37. Example 4-3a Find the surface area of the cylinder. Round to the nearest tenth. Formula for surface area of a cylinder Replace r with 2.5 and h with 8. Simplify. Answer:The surface area of the cylinder is about 164.9 square meters. Surface Area of a Cylinder

38. Example 7-3a Find the surface area of the cylinder. Round to the nearest tenth. Surface area of a cylinder Replace r with 2.5 and h with 2. Simplify. Answer: The surface area is about 70.7 square meters. Surface Area of a Cylinder

40. Find the surface area of the cylinder. Round to the nearest tenth. LESSON 7-2 Step 1 Draw a net. Step 2 Find the area of one circle. A = r 2 = (3) 2 = (9) 28.27 cm 2 Surface Areas of Prisms and Cylinders Additional Examples

41. (continued) LESSON 7-2 Step 3Find the area of the rectangle. (2 r)h = 2 (3)(2) = 12 37.70 cm 2 Step 4Add the areas of the two circles and the rectangle. Surface area = 28.27 + 28.27 + 37.70 = 94.2 The surface area of the cylinder is about 94.2 cm 2. Surface Areas of Prisms and Cylinders Additional Examples

44. 3. All outer surfaces of a box are covered with gold foil, except the bottom. The box measures 6 in. long, 4 in. wide, and 3 in. high. How much gold foil was used? Lesson Quiz Find the surface area of each figure to the nearest tenth. Use 3.14 for . 1. the triangular prism 2. the cylinder 320.3 in 2 360 cm 2 84 in 2